Fuzzy Subgroups with Meet Operation in the Connection of Möbius Transformations

  • Paavo Kukkurainen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4529)


Let G be any subgroup of the group of Möbius transformations and Open image in new window a set of stabilizers and their intersections. Taking a fuzzy subgroup of G given by means of stabilizers of G as the mapping Open image in new window , we examine the behaviour of the meet operation ∧ in Open image in new window .


Fixed points and multipliers of Möbius transformations conjugation stabilizers fuzzy subgroups meet operation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Beardon, A.F.: The Geometry of Discrete Groups. Springer, New York (1983)zbMATHGoogle Scholar
  2. 2.
    Kukkurainen, P.: Level Sets as a Topological Base Applied to Subgroups of a Group of Moebius Transformations. JACIII 9(5), 511–513 (2005)Google Scholar
  3. 3.
    Seppälä, M., Sorvali, T.: Geometry of Riemann Surfaces and Teichmüller spaces. North-Holland Mathematics Studies, vol. 169. North Holland, Amsterdam (1992)zbMATHGoogle Scholar
  4. 4.
    Seselja, B., Tepavcevic, A.: Fuzzy groups and collections of subgroups. Fuzzy Sets and Systems 83, 85–91 (1996)CrossRefMathSciNetzbMATHGoogle Scholar
  5. 5.
    Seselja, B., Tepavcevic, A.: On a construction on codes by P-fuzzy sets. Zb. Rad. Priod.-Mat. 20, 71–80 (1990)MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Paavo Kukkurainen
    • 1
  1. 1.Lappeenranta University of Technology, P.O. Box 20, 53851 LappeenrantaFinland

Personalised recommendations